BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters

By N. Nekrasov. 2015

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A bstractWe study symmetries of quantum field theories involving topologically distinct sectors of the field space. To exhibit these symmetries we define special gauge invariant observables, which we call the qq-characters. In the context of the BPS/CFT correspondence, using these observables, we derive an infinite set of Dyson-Schwinger-type relations. These relations imply that the supersymmetric partition functions in the presence of Ω-deformation and defects obey the Ward identities of two dimensional conformal field theory and its q-deformations. The details will be discussed in the companion papers.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3ebb181f376961746ecbf1e606db94a133bc4dc0

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In Geometry and Topology

  1. Taro Kimura
  2. Vasily Pestun

In Mathematical Physics

  1. Taro Kimura
  2. Vasily Pestun

In Nuclear and High Energy Physics

  1. Taro Kimura
  2. Vasily Pestun

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